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Finding the Fourth Proportional to 8,281.92, 12,427.34 and 6,436.74

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Solution

The fourth proportional to 8,281.92, 12,427.34 and 6,436.74 is: 9,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.92 : 12,427.34 = 6,436.74 : x
  2. Step 2: Convert to fraction form
    8,281.92/12,427.34 = 6,436.74/x
  3. Step 3: Cross multiply
    8,281.92x = 12,427.34 × 6,436.74
  4. Step 4: Simplify right side
    8,281.92x = 79,991,524.29
  5. Step 5: Solve for x
    x = 79,991,524.29/8,281.92
  6. Step 6: Final answer
    x = 9,658.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.